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Simplifying 6.5x + 7.5 + -2.5x = 3.75x + -8.75 Reorder the terms: 7.5 + 6.5x + -2.5x = 3.75x + -8.75 Combine like terms: 6.5x + -2.5x = 4x 7.5 + 4x = 3.75x + -8.75 Reorder the terms: 7.5 + 4x = -8.75 + 3.75x Solving 7.5 + 4x = -8.75 + 3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75x' to each side of the equation. 7.5 + 4x + -3.75x = -8.75 + 3.75x + -3.75x Combine like terms: 4x + -3.75x = 0.25x 7.5 + 0.25x = -8.75 + 3.75x + -3.75x Combine like terms: 3.75x + -3.75x = 0.00 7.5 + 0.25x = -8.75 + 0.00 7.5 + 0.25x = -8.75 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.25x = -8.75 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.25x = -8.75 + -7.5 0.25x = -8.75 + -7.5 Combine like terms: -8.75 + -7.5 = -16.25 0.25x = -16.25 Divide each side by '0.25'. x = -65 Simplifying x = -65
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